214508492352 has 560 divisors, whose sum is σ = 797421905280. Its totient is φ = 55390003200.

The previous prime is 214508492333. The next prime is 214508492371. The reversal of 214508492352 is 253294805412.

214508492352 is a `hidden beast` number, since 2 + 1 + 4 + 508 + 4 + 92 + 3 + 52 = 666.

214508492352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214508492333) and next prime (214508492371).

It is a super-2 number, since 2×214508492352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214508492298 and 214508492307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72247924 + ... + 72250892.

It is an arithmetic number, because the mean of its divisors is an integer number (1423967688).

Almost surely, 2^214508492352 is an apocalyptic number.

214508492352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214508492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398710952640).

214508492352 is an abundant number, since it is smaller than the sum of its proper divisors (582913412928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214508492352 is a wasteful number, since it uses less digits than its factorization.

214508492352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 214508492352 in words is "two hundred fourteen billion, five hundred eight million, four hundred ninety-two thousand, three hundred fifty-two".